Answer:

Step-by-step explanation:
Let consider the following algebraical substitution:


The integral is re-arranged to this form:

After doing some algebraical manipulation, the rational form of this integral is:

The solution of this integral is:

I believe it is 4 if not 4/1
The answer is 1 over 3(3.14)(5²)(8)
The volume of the cylinder (V1) is:
V1 = π · r² · h (r - radius, h - height)
The volume of the cone (V2) is:
V2 = 1/3 π · r² · h (r - radius, h - height)
It is given:
r = 5 feet
h = 8 feet
π = 3.14
Therefore, the volume of the cone is:
V2 = 1/3 · 3.14 · 5² · 8 which is the same as 1 over 3(3.14)(5²)(8).
Answer:
-4x^2+3x
Step-by-step explanation:
collect like terms
(2x^2-6x^2) + (6x-3x) + (5-5)
simplify
-4x^2 + 3x
Answer:
shortest side = 3 in
Step-by-step explanation:
Sum the 3 sides and equate to 13, that is
x - 5 + 6 +
= 13, that is
x + 1 +
= 13 ( subtract 1 from both sides )
x +
= 12 ( multiply through by 2 to clear the fraction )
2x + x = 24
3x = 24 ( divide both sides by 3 )
x = 8
Thus
x - 5 = 8 - 5 = 3 and
=
= 4 , then
The shortest side is x - 5 = 3 in